At the 0.05 level of significance, test whether the mean fat absorbed by the four different fats are significantly different. Interpret your results. (Ensure you use all the steps for your hypothesis test) 4.1 4.2 Given the table below, what can you conclude about the mean fat absorbed by the four different fats X – X; 95% Confidence Interval for x – xj Fat 1- Fat 2 -13 -29.2 3.2 Fat 1- Fat 3 -4 -20.2 12.2 Fat 1- Fat 4 10 -6.2 26.2 Fat 2- Fat 3 9 -7.2 25.2 Fat 2- Fat 4 23 6.8 39.2 Fat 3 - Fat 4 14 -2.2 30.2

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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4. QUESTION
A bakery in Cape Town would like to produce a koeksister that could be marketed to consumers that are health
conscious. They experimented with 4 different fats to see which fat was least absorbed by the koeksisters
during the deep-frying process. Each fat was used for six batches of one dozen koeksisters each, and the table
shows the grams of fat absorbed by each batch of koeksisters
g Fat Absorbed in Batch
Fat 1
64
72
68
77 56
95
72
13.34
Fat 2
78
91
97
82
85
77
85.
7.77
Fat 3
75
93
78
71
63
76
76
9.88
Fat 4
55
66
49
64
70
68
62
8.22
SS
df
MS
F
p-value
Treatment
1636.5
545.4
5.41
0.0069
Error
2018.0
20
100.9
Total
3654,5
23
3.
Transcribed Image Text:4. QUESTION A bakery in Cape Town would like to produce a koeksister that could be marketed to consumers that are health conscious. They experimented with 4 different fats to see which fat was least absorbed by the koeksisters during the deep-frying process. Each fat was used for six batches of one dozen koeksisters each, and the table shows the grams of fat absorbed by each batch of koeksisters g Fat Absorbed in Batch Fat 1 64 72 68 77 56 95 72 13.34 Fat 2 78 91 97 82 85 77 85. 7.77 Fat 3 75 93 78 71 63 76 76 9.88 Fat 4 55 66 49 64 70 68 62 8.22 SS df MS F p-value Treatment 1636.5 545.4 5.41 0.0069 Error 2018.0 20 100.9 Total 3654,5 23 3.
4.1
At the 0.05 level of significance, test whether the mean fat absorbed by the four different fats are
significantly different. Interpret your results. (Ensure you use all the steps for your hypothesis test)
4.2
Given the table below, what can you conclude about the mean fat absorbed by the four different fats
一对
95% Confidence Interval for x, - X
Fat 1- Fat 2
-13
-29.2
3.2
Fat 1- Fat 3
-4
20.2
12.2
Fat 1- Fat 4
10
-6.2
26.2
Fat 2
Fat 3
6.
-7.2
25.2
Fat 2- Fat 4
23
6.8
39.2
Fat 3- Fat 4
14
-2.2
30.2
Transcribed Image Text:4.1 At the 0.05 level of significance, test whether the mean fat absorbed by the four different fats are significantly different. Interpret your results. (Ensure you use all the steps for your hypothesis test) 4.2 Given the table below, what can you conclude about the mean fat absorbed by the four different fats 一对 95% Confidence Interval for x, - X Fat 1- Fat 2 -13 -29.2 3.2 Fat 1- Fat 3 -4 20.2 12.2 Fat 1- Fat 4 10 -6.2 26.2 Fat 2 Fat 3 6. -7.2 25.2 Fat 2- Fat 4 23 6.8 39.2 Fat 3- Fat 4 14 -2.2 30.2
Expert Solution
Step 1

In order to determine whether there is significant difference in between the mean scores of students of three different sections, a one way analysis of variance (one way-ANOVA) test needs to be conducted.

 If test result gives p-value<α, where α denotes the level of significance, then it can be concluded that there is significant difference in between the mean scores of students of three different sections.

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